Goal: The goals this section are for you to
Virtual manipulative resources
Understanding a base 10 and 5 positional number system
(if any of these videos do not load properly, please let me know!)
The base 10 positional number system
Base 5 manipulatives and numbers
Converting base 5 to 10
Converting base 10 to 5
More counting and thinking in base 5
Other bases
Readings: Read section 2.3: Numeration in the Bassarear book. The part of this you will find most immediately useful is pgs 111-118 (110-115 if you have the previous edition of the book)
Assignment due:
Manipulatives and games for learning about the base 10
number system
Videos to watch:
Base 10 manipulatives and making 10 (this game is one that, with a few variations, I have seen used in a lot of places, and there are a lot of people who have found it is very effective for helping students gain a good understanding of place value; it is used for 1-2 grade children who are working on a good place value foundation, and for higher grades children who are showing a difficulty with place value. I've played a version with my children called "race to 100" with coins as manipulatives--pennies, nickels, and dimes, up to a dollar--where the first one to 100 wins. It's good for place value understanding and it's fun)
Readings: some notes on base 10 materials
Assignment due:
Assn 22: Base 10 materials assignment
Subitizing:
Videos to watch:
subitizing
(apparently I pronounce this word incorrectly.)Readings:
Read the articles in the D2L Content->Readings section:
Subitizing
ALAbacusSubitize: Using Language and Visulization to teach place value. (Read only the first 8 pages: up to the section "Electronic ALAbacus)
Assignment:
Place value errors and misconceptions:
Videos to watch:
First watch the first two videos "Snapshots of Student Misundertandings by Marilyn Burns-Cena" and "Snapshots of Student Misundertandings by Marilyn Burns-Jonathan" from the Math Solutions web site here: http://mathsolutions.wistia.com/projects/7191d658c1
I'm going to compare those to the last video (of Rudy) at this web site: http://www.homeofbob.com/mathVideos/rudy/all.html
Readings:
Also read the article in the D2L Content->Readings section:
TransitionalSubtraction: What Nathan Teaches Us About Transitional Thinking
My commentary video:
Learning about place value (this is an interesting example of inflexible knowledge becoming deeper and more flexible over time)
Assignment:
Assn 24: Write a paragraph describing how students develop place value understanding in the primary grades. June 28